Question : M alone can complete a work in 50 days and N alone can complete the same work in 100 days. If both of them work together, then in 25 days what percentage work of the total work will be completed?
Option 1: 60%
Option 2: 55%
Option 3: 75%
Option 4: 80%
Correct Answer: 75%
Solution :
Given,
M can complete a work in 50 days.
Work rate of M = $\frac{1}{50}$
N can complete the same work in 100 days.
work rate of N = $ \frac{1}{100}$
The work rate of M and N together
= $\frac{1}{50} + \frac{1}{100}$
= $\frac{3}{100}$
Now, work completed in 25 days = $\frac{3}{100} × 25= 0.75=75\%$
Hence, the correct answer is 75%.
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